Transport gap and hysteretic behavior of the Ising quantum Hall ferromagnets in Landau levels $\left|N\right|>0$ of bilayer graphene

Abstract

The chiral two-dimensional electron gas in Landau levels $\left|N\right|>0$ of a Bernal-stacked graphene bilayer has a valley-pseudospin Ising quantum Hall ferromagnetic behavior at odd filling factors ${\nu }_N=1,3$ of these fourfold degenerate states. At zero interlayer electrical bias, the ground state at these fillings is spin polarized and electrons occupy one valley or the other while a finite electrical bias produces a series of valley pseudospin-flip transitions. In this work, we extend the Ising behavior to chirally-stacked multilayer graphene and discuss the hysteretic behavior of the Ising quantum Hall ferromagnets. We compute the transport gap due to different excitations: bulk electron-hole pairs, electron-hole pairs confined to the coherent region of a valley-pseudospin domain wall, and spin or valley-pseudospin skyrmion-antiskyrmion pairs. We determine which of these excitations has the lowest energy at a given value of the Zeeman coupling, bias, and magnetic field.

arXiv comment18 pages with 9 eps figures

References in corpus (30)

• The electronic properties of graphene
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Properties of Graphene: A Theoretical Perspective
• The electronic properties of bilayer graphene
• Electronic Properties of Graphene in a Strong Magnetic Field
• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Topological confinement in bilayer graphene
• Band Structure of ABC-Stacked Graphene Trilayers
• Accurate tight-binding and continuum models for the $\pi$ bands of bilayer graphene
• Resistance Spikes at Transitions between Quantum Hall Ferromagnets
• Chemical Potential and Quantum Hall Ferromagnetism in Bilayer Graphene
• Pseudospin Anisotropy Classification of Quantum Hall Ferromagnets
• First-Order Phase Transition in a Quantum Hall Ferromagnet
• Direct Measurement of the Fermi Energy in Graphene Using a Double Layer Structure
• Resistance spikes and domain wall loops in Ising quantum Hall ferromagnets
• Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems
• Magnetic Anisotropy in Quantum Hall Ferromagnets
• Topological defects and Goldstone excitations in domain walls between ferromagnetic quantum Hall effect liquids
• Quantum Hall ferromagnetic phases in the Landau level N=0 of a graphene bilayer
• Spontaneous Layer-Pseudospin Domain Walls in Bilayer Graphene
• Zeeman coupling and screening corrections to skyrmion excitations in graphene
• Quantum Hall Solitons with Intertwined Spin and Pseudospin at $\nu =1$
• Theory of inter-Landau level magnetoexcitons in bilayer graphene
• Inter-Landau-level skyrmions versus quasielectrons in the nu=2 quantum Hall effect
• Valley-kink in Bilayer Graphene at $\nu =0$: A Charge Density Signature for Quantum Hall Ferromagnetism
• Superfluid-Insulator transition of quantum Hall domain walls in bilayer graphene
• Validity of the two-band model of bilayer and trilayer graphene in a magnetic field
• Skyrme crystal in bilayer and multilayer graphene
• Ising quantum Hall ferromagnetism in Landau levels $\left|N\right|\ge 1$ of bilayer graphene
• Solitonic Excitations in Linearly Coherent Channels of Bilayer Quantum Hall Stripes

Cited by in corpus (4)

• Spontaneous Layer Polarization and Conducting Domain Walls in the Quantum Hall Regime of Bilayer Graphene
• Quantum Hall ferromagnets and transport properties of buckled Dirac materials
• Phase transitions and topological properties of the 5/2 quantum Hall states with strong Landau-level mixing
• Skyrmionic Transport and First Order Phase Transitions in Twisted Bilayer Graphene Quantum Hall Ferromagnet